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The appropriate values for transformation of the average pitch frequency, the signal duration (and thus the speaking rate), the glottal source parameters (OQ, RQ, SQ), and the formant frequencies are obtained using the above procedure.
Figure 13 Plots of smooth spectra corresponding to MFCC feature along with linear (DFT) spectra of a stable voiced frame extracted from the digit "OH" signals having average pitch value of (a) 310 Hz (original), and (b) 190 Hz (after transformation of the average pitch of the signal from 310 Hz by factor of 1. 6).
The cumulative activity of a module is a squared transformation of the average weighted expression for all nodes in the module; where the weight of a given node is the maximum fold change of probes corresponding to its gene symbol.
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Since the DFT is a linear transformation, averaging the Fourier-transformed time series is equivalent to performing a Fourier transformation on the average of the time series.
The value is defined as minus log transformation on the average P-values of each annotation term and was set at 1.3 (non-log scale 0.05) for significance.
The inverse wavelet transformation of the averaged coefficients yields the final result.
A global cognitive summary score was estimated from the z-transformation of the average of the four domain z-scores and was used to assess cognitive impairment in our subjects.
To compare the different constellations, each was registered via Procrustes transformation to the average constellation of the AAM model (canonical face mesh, see below).
Input spectra were obtained by calculating the fast Fourier transformation (FFT) of the average of 10 sequential repeats with 6.25 Hz frequency resolution.
The second one is the transformation of the obtained average strain-energy density to that for the continuum.
In Section 4 it is shown that the Sammon transformation of the acoustic features (average MFCC features per speaker and emotion) leads to a similar arrangement of the four cover classes; only the position of A nger is slightly different (closer to M otherese than to E mphatic).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com